To reflect in the line y = -x + 6, we translate everything down 6 first.
This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
You would set up equations for both the member and the non-member.
The member's equation would be: 384+8x (x being the number of rounds)
The non-member's equation would be: 48x+24x
then you would set them equal to each other and then solve:
384+8x=48x+24x
384=64x
384/64=x
x=6
they would have to play 6 rounds in order to pay the same amount.
Answer:
-28x(-1.6)
Step-by-step explanation:
combine like terms: -18x +(-10x) ---> <u>-28x</u>
3-4.6 ---> <u>-1.6</u>
Combine the leftover terms:
<u>-28x(-1.6)</u>
Answer: 15
Step-by-step explanation:
Since we are informed that in exchange for 5 eclaire boxes, that Luna gets, she decided to give 1 eclaire box for free.
Then, the number of eclaires boxes that they can buy from Luna using 77 claire boxes will be:
= 77 / 5
= 15 2/5
= 15 approximately
They'll get 15 boxes of eclaires from Luna.
